transformations.hpp File Reference

Arithmetic transformations and explicit conversions between primitives. More...

#include "implementation/io.hpp"

Go to the source code of this file.

Namespaces
namespace	pgl

Functions
template<class LeftNumber, class LeftLabel, class RightNumber, class RightLabel>
constexpr auto	pgl::operator- (const Point< LeftNumber, LeftLabel > &left, const Point< RightNumber, RightLabel > &right)
	Translates a point by the opposite of another point.
template<class Number, class Label, class Scalar> requires (!detail::is_point_v<Scalar> && !TransformationConcept<Scalar>)
constexpr auto	pgl::operator* (const Point< Number, Label > &point, const Scalar &scalar)
	Scales a point by a scalar.
template<class Scalar, class Number, class Label> requires (!detail::is_point_v<Scalar> && !TransformationConcept<Scalar>)
constexpr auto	pgl::operator* (const Scalar &scalar, const Point< Number, Label > &point)
	Scales a point by a scalar written on the left.
template<class Number, class Label, class Scalar> requires (!detail::is_point_v<Scalar> && !TransformationConcept<Scalar>)
constexpr auto	pgl::operator/ (const Point< Number, Label > &point, const Scalar &scalar)
	Divides both coordinates by a scalar.
template<class PointType, class LabelType, class TranslationNumber, class TranslationLabel>
constexpr auto	pgl::operator- (const Segment< PointType, LabelType > &segment, const Point< TranslationNumber, TranslationLabel > &translation)
	Translates a segment by the opposite of a point.
template<class PointType, class LabelType, class Scalar> requires (!detail::is_point_v<Scalar> && !TransformationConcept<Scalar>)
constexpr auto	pgl::operator* (const Segment< PointType, LabelType > &segment, const Scalar &scalar)
	Scales a segment by a scalar.
template<class Scalar, class PointType, class LabelType> requires (!detail::is_point_v<Scalar> && !TransformationConcept<Scalar>)
constexpr auto	pgl::operator* (const Scalar &scalar, const Segment< PointType, LabelType > &segment)
	Scales a segment by a scalar written on the left.
template<class PointType, class LabelType, class Scalar> requires (!detail::is_point_v<Scalar> && !TransformationConcept<Scalar>)
constexpr auto	pgl::operator/ (const Segment< PointType, LabelType > &segment, const Scalar &scalar)
	Divides both endpoints by a scalar.
template<class PointType, class LabelType, class TranslationNumber, class TranslationLabel>
constexpr auto	pgl::operator- (const OrientedSegment< PointType, LabelType > &segment, const Point< TranslationNumber, TranslationLabel > &translation)
	Translates an oriented segment by the opposite of a point.
template<class PointType, class LabelType, class Scalar> requires (!detail::is_point_v<Scalar> && !TransformationConcept<Scalar>)
constexpr auto	pgl::operator* (const OrientedSegment< PointType, LabelType > &segment, const Scalar &scalar)
	Scales an oriented segment by a scalar.
template<class Scalar, class PointType, class LabelType> requires (!detail::is_point_v<Scalar> && !TransformationConcept<Scalar>)
constexpr auto	pgl::operator* (const Scalar &scalar, const OrientedSegment< PointType, LabelType > &segment)
	Scales an oriented segment by a scalar written on the left.
template<class PointType, class LabelType, class Scalar> requires (!detail::is_point_v<Scalar> && !TransformationConcept<Scalar>)
constexpr auto	pgl::operator/ (const OrientedSegment< PointType, LabelType > &segment, const Scalar &scalar)
	Divides both endpoints by a scalar.
template<class PointType, class LabelType, class TranslationNumber, class TranslationLabel>
constexpr auto	pgl::operator- (const Line< PointType, LabelType > &line, const Point< TranslationNumber, TranslationLabel > &translation)
	Translates a line by the opposite of a point.
template<class PointType, class LabelType, class Scalar> requires (!detail::is_point_v<Scalar> && !TransformationConcept<Scalar>)
constexpr auto	pgl::operator* (const Line< PointType, LabelType > &line, const Scalar &scalar)
	Scales a line by a scalar.
template<class Scalar, class PointType, class LabelType> requires (!detail::is_point_v<Scalar> && !TransformationConcept<Scalar>)
constexpr auto	pgl::operator* (const Scalar &scalar, const Line< PointType, LabelType > &line)
	Scales a line by a scalar written on the left.
template<class PointType, class LabelType, class Scalar> requires (!detail::is_point_v<Scalar> && !TransformationConcept<Scalar>)
constexpr auto	pgl::operator/ (const Line< PointType, LabelType > &line, const Scalar &scalar)
	Divides both defining points by a scalar.
template<class PointType, class LabelType, class TranslationNumber, class TranslationLabel>
constexpr auto	pgl::operator- (const OrientedLine< PointType, LabelType > &line, const Point< TranslationNumber, TranslationLabel > &translation)
template<class PointType, class LabelType, class Scalar> requires (!detail::is_point_v<Scalar> && !TransformationConcept<Scalar>)
constexpr auto	pgl::operator* (const OrientedLine< PointType, LabelType > &line, const Scalar &scalar)
template<class Scalar, class PointType, class LabelType> requires (!detail::is_point_v<Scalar> && !TransformationConcept<Scalar>)
constexpr auto	pgl::operator* (const Scalar &scalar, const OrientedLine< PointType, LabelType > &line)
template<class PointType, class LabelType, class Scalar> requires (!detail::is_point_v<Scalar> && !TransformationConcept<Scalar>)
constexpr auto	pgl::operator/ (const OrientedLine< PointType, LabelType > &line, const Scalar &scalar)
template<class PointType, class LabelType, class TranslationNumber, class TranslationLabel>
constexpr auto	pgl::operator- (const Ray< PointType, LabelType > &ray, const Point< TranslationNumber, TranslationLabel > &translation)
template<class PointType, class LabelType, class Scalar> requires (!detail::is_point_v<Scalar> && !TransformationConcept<Scalar>)
constexpr auto	pgl::operator* (const Ray< PointType, LabelType > &ray, const Scalar &scalar)
template<class Scalar, class PointType, class LabelType> requires (!detail::is_point_v<Scalar> && !TransformationConcept<Scalar>)
constexpr auto	pgl::operator* (const Scalar &scalar, const Ray< PointType, LabelType > &ray)
template<class PointType, class LabelType, class Scalar> requires (!detail::is_point_v<Scalar> && !TransformationConcept<Scalar>)
constexpr auto	pgl::operator/ (const Ray< PointType, LabelType > &ray, const Scalar &scalar)
template<class PointType, class LabelType, class TranslationNumber, class TranslationLabel>
constexpr auto	pgl::operator- (const Rectangle< PointType, LabelType > &rectangle, const Point< TranslationNumber, TranslationLabel > &translation)
	Translates a rectangle by the opposite of a point.
template<class PointType, class LabelType, class Scalar> requires (!detail::is_point_v<Scalar> && !TransformationConcept<Scalar>)
constexpr auto	pgl::operator* (const Rectangle< PointType, LabelType > &rectangle, const Scalar &scalar)
	Scales a rectangle by a scalar.
template<class Scalar, class PointType, class LabelType> requires (!detail::is_point_v<Scalar> && !TransformationConcept<Scalar>)
constexpr auto	pgl::operator* (const Scalar &scalar, const Rectangle< PointType, LabelType > &rectangle)
	Scales a rectangle by a scalar written on the left.
template<class PointType, class LabelType, class Scalar> requires (!detail::is_point_v<Scalar> && !TransformationConcept<Scalar>)
constexpr auto	pgl::operator/ (const Rectangle< PointType, LabelType > &rectangle, const Scalar &scalar)
	Divides both rectangle corners by a scalar.
template<class PointType, class LabelType, class TranslationNumber, class TranslationLabel>
constexpr auto	pgl::operator- (const Triangle< PointType, LabelType > &triangle, const Point< TranslationNumber, TranslationLabel > &translation)
	Returns a copy of a triangle translated by the opposite point.
template<class PointType, class LabelType, class Scalar> requires (!detail::is_point_v<Scalar> && !TransformationConcept<Scalar>)
constexpr auto	pgl::operator* (const Triangle< PointType, LabelType > &triangle, const Scalar &scalar)
	Returns a scaled copy of a triangle.
template<class Scalar, class PointType, class LabelType> requires (!detail::is_point_v<Scalar> && !TransformationConcept<Scalar>)
constexpr auto	pgl::operator* (const Scalar &scalar, const Triangle< PointType, LabelType > &triangle)
	Returns a scaled copy of a triangle with the scalar on the left.
template<class PointType, class LabelType, class Scalar> requires (!detail::is_point_v<Scalar> && !TransformationConcept<Scalar>)
constexpr auto	pgl::operator/ (const Triangle< PointType, LabelType > &triangle, const Scalar &scalar)
	Returns a copy of a triangle divided by a scalar.
template<class PointType, class LabelType, class TranslationNumber, class TranslationLabel>
constexpr auto	pgl::operator- (const Halfplane< PointType, LabelType > &halfplane, const Point< TranslationNumber, TranslationLabel > &translation)
template<class PointType, class LabelType, class Scalar> requires (!detail::is_point_v<Scalar> && !TransformationConcept<Scalar>)
constexpr auto	pgl::operator* (const Halfplane< PointType, LabelType > &halfplane, const Scalar &scalar)
template<class Scalar, class PointType, class LabelType> requires (!detail::is_point_v<Scalar> && !TransformationConcept<Scalar>)
constexpr auto	pgl::operator* (const Scalar &scalar, const Halfplane< PointType, LabelType > &halfplane)
template<class PointType, class LabelType, class Scalar> requires (!detail::is_point_v<Scalar> && !TransformationConcept<Scalar>)
constexpr auto	pgl::operator/ (const Halfplane< PointType, LabelType > &halfplane, const Scalar &scalar)
template<class Number, class ShapeT> requires (detail::shapeRank<ShapeT> >= 0 && !RectangleConcept<ShapeT> && !DiskConcept<ShapeT>)
constexpr auto	pgl::operator* (const Transformation< Number > &transformation, const ShapeT &shape)
	Applies a transformation to any supported shape.
template<class Number, ShapeConcept ShapeT>
constexpr auto	pgl::operator* (const Transformation< Number > &transformation, const ShapeT &shape)
	Applies a transformation to the polymorphic Shape wrapper.

Detailed Description

Arithmetic transformations and explicit conversions between primitives.

Translation, scaling, negation, axis swapping, and cross-primitive conversion